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Finding the Fourth Proportional to 967.62, 1,452.60 and 693

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Solution

The fourth proportional to 967.62, 1,452.60 and 693 is: 1,040.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.62 : 1,452.60 = 693 : x
  2. Step 2: Convert to fraction form
    967.62/1,452.60 = 693/x
  3. Step 3: Cross multiply
    967.62x = 1,452.60 × 693
  4. Step 4: Simplify right side
    967.62x = 1,006,651.80
  5. Step 5: Solve for x
    x = 1,006,651.80/967.62
  6. Step 6: Final answer
    x = 1,040.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.